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Simplifying (5w + 3z) + (w + -1z) = 0 Remove parenthesis around (5w + 3z) 5w + 3z + (w + -1z) = 0 Remove parenthesis around (w + -1z) 5w + 3z + w + -1z = 0 Reorder the terms: 5w + w + 3z + -1z = 0 Combine like terms: 5w + w = 6w 6w + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z 6w + 2z = 0 Solving 6w + 2z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2z' to each side of the equation. 6w + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 6w + 0 = 0 + -2z 6w = 0 + -2z Remove the zero: 6w = -2z Divide each side by '6'. w = -0.3333333333z Simplifying w = -0.3333333333z
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